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Finding the Third Proportional to 157,686.75 and 341,617.50

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Solution

The third proportional to 157,686.75 and 341,617.50 is: 740,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,686.75 : 341,617.50 = 341,617.50 : x
  2. Step 2: Convert to fraction form
    157,686.75/341,617.50 = 341,617.50/x
  3. Step 3: Cross multiply
    157,686.75x = 341,617.50 × 341,617.50
  4. Step 4: Simplify right side
    157,686.75x = 116,702,516,306.25
  5. Step 5: Solve for x
    x = 116,702,516,306.25/157,686.75
  6. Step 6: Final answer
    x = 740,090.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.